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2442020002305 = 351320636070373
BaseRepresentation
bin100011100010010011101…
…111000001101000000001
322122110021120110111200120
4203202103233001220001
5310002224110033210
65105503135410453
7341300350350312
oct43422357015001
98573246414616
102442020002305
1186172269a914
12335343683a29
131493875b37b0
14862a1604609
15437c88c2270
hex23893bc1a01

2442020002305 has 32 divisors (see below), whose sum is σ = 4209828650496. Its totient is φ = 1201642278144.

The previous prime is 2442020002271. The next prime is 2442020002313. The reversal of 2442020002305 is 5032000202442.

It is a happy number.

It is not a de Polignac number, because 2442020002305 - 221 = 2442017905153 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632902 + ... + 3437471.

It is an arithmetic number, because the mean of its divisors is an integer number (131557145328).

Almost surely, 22442020002305 is an apocalyptic number.

It is an amenable number.

2442020002305 is a deficient number, since it is larger than the sum of its proper divisors (1767808648191).

2442020002305 is a wasteful number, since it uses less digits than its factorization.

2442020002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072457.

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 2442020002305 its reverse (5032000202442), we get a palindrome (7474020204747).

The spelling of 2442020002305 in words is "two trillion, four hundred forty-two billion, twenty million, two thousand, three hundred five".

Divisors: 1 3 5 13 15 39 65 195 2063 6189 10315 26819 30945 80457 134095 402285 6070373 18211119 30351865 78914849 91055595 236744547 394574245 1183722735 12523179499 37569538497 62615897495 162801333487 187847692485 488404000461 814006667435 2442020002305